[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Springer Nature Link
Log in

An 18-element GEO broadcast ephemeris based on non-singular elements

  • Original Article
  • Published:
GPS Solutions Aims and scope Submit manuscript

Abstract

Compass/Beidou2 uses uniform GPS-type broadcast ephemerides for its mixed constellation, which consists of geostationary earth orbit (GEO), inclined geosynchronous orbit and medium earth orbit satellites. The ephemeris parameters adopted by Compass are singular for the small inclinations of GEOs, and some intermediate orbital planes are currently used to avoid the singularities of parameter fitting. To directly deal with GEOs, an improved 18-element broadcast ephemeris is proposed, which consists of the non-singular elements and some correction terms. First, the non-singular elements are used to enable the orbit representation of GEOs to be completely free from the singularity. Second, two additional parameters, which express the predominant characteristics of east–west drift of the subsatellite point of GEO, are added into the correction terms for improving the modeling precision. Third, the user satellite position and velocity computation model based on the designed broadcast ephemeris parameters are presented. Simulation results show that the fitting arc length of the proposed broadcast ephemeris can be reduced to as short as 2 h, and that the improvement of the fitting user range error (URE) is obtained. The typical RMS of the fitting URE obtained in a non-eclipse period is less than 1 and 5 mm for 2- and 3-h fitting arcs, respectively.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Battin RH (1999) An introduction to the mathematics and methods of astrodynamics, revised edition. American Institute of Aeronautics and Astronautics. Inc., Reston, VA

    Book  Google Scholar 

  • BDS-SIS-ICD (2012) BeiDou navigation satellite system signal in space interface control document open service signal B1I-1.0. Administrator Office of China Satellite Navigation. http://www.beidou.gov.cn

  • Breiter S, Wytrzyszczak I, Melendo B (2005) Long-term predictability of orbits around the geosynchronous altitude. Adv Space Res 35(7):1313–1317

    Article  Google Scholar 

  • Brouwer D, Clemence GM (1961) Methods of celestial mechanics and dynamical astronomy. Academic Press, New York

    Google Scholar 

  • Chobotov VA (ed) (2002) Orbital mechanics. Aiaa, Reston, Virginia

  • de Moraes RV, Formiga JKS, Lima Jr PHCL, Kuga HK (2007) Orbital perturbations: resonance effects. IAA-B6-0717P:8

  • Ferreira LDD, de Moraes RV (2009) GPS satellites orbits: resonance. Math Probl Eng 29:1–12. doi:10.1155/2009/347835

    Article  Google Scholar 

  • Fu XF, Wu MP (2012) Optimal design of broadcast ephemeris parameters for a navigation satellite system. GPS Solut 16(4):439–448. doi:10.1007/s10291-011-0243-7

    Article  Google Scholar 

  • Han CH, Yang YX, Cai ZW (2011) BeiDou navigation satellite system and its timescales. Metrologia 48(4):S213–S218. doi:10.1088/0026-1394/48/4/S13

    Article  Google Scholar 

  • Hugentobler U, Ploner M, Schildknecht T, Beutler G (1999) Determination of resonant geopotential terms using optical observations of geostationary satellites. Adv Space Res 23(4):767–770

    Article  Google Scholar 

  • ICD-GLONASS-5.1 (2008) Global navigation satellite GLONASS, interface control document, navigational radiosignal in bands L1, L2. Russian Institute of Space Device Engineering

  • Ineichen D, Beutler G, Hugentobler U (2003) Sensitivity of GPS and GLONASS orbits with respect to resonant geopotential parameters. J Geodesy 77(7–8):478–486. doi:10.1007/s00190-003-0348-z

    Article  Google Scholar 

  • IS-GPS-200G (2012) Navstar GPS space segment/navigation user interface. Global Positioning System Wing, Space and Missile Systems Center. http://www.navcen.uscg.gov

  • IS-GPS-705C (2012) Navstar GPS space segment/user segment L5 interfaces. Global Positioning System Wing, Space and Missile Systems Center. http://www.navcen.uscg.gov

  • IS-GPS-800C (2012) Navstar GPS space segment/user segment L1C interface. Global Positioning System Wing, Space and Missile Systems Center. http://www.navcen.uscg.gov

  • IS-QZSS (2013) Quasi-Zenith Satellite System navigation service interface specification for QZSS. Japan Aerospace Exploration Agency. qzss.jaxa.jp/is-qzss/index_e.html

  • Klokocnik J (1983) Orbital rates of Earth satellites at resonances to test the accuracy of Earth gravity field models. Celest Mech 30:407–422

    Article  Google Scholar 

  • Montenbruck O, Gill E (2000) Satellite orbits: models, methods, and applications. Springer, Berlin

    Book  Google Scholar 

  • Montenbruck O, Hauschild A, Steigenberger P, Hugentobler U, Teunissen P, Nakamura S (2013) Initial assessment of the COMPASS/BeiDou-2 regional navigation satellite system. GPS Solut 17:211–222. doi:10.1007/s10291-012-0272-x

    Article  Google Scholar 

  • Remondi BW (2004) Computing satellite velocity using the broadcast ephemeris. GPS Solut 8(3):181–183

    Article  Google Scholar 

  • RTCA/DO-229 C (2006) Minimum operational performance standards for global positioning system/wide area augmentation system airborne equipment, RTCA Inc.

  • Shi C, Zhao QL, Li M, Tang WM, Hu ZG, Lou YD, Zhang HP, Niu XJ, Liu JN (2012) Precise orbit determination of Beidou satellites with precise positioning. Sci China Earth Sci 55:1079–1086. doi:10.1007/s11430-012-4446-8

    Article  Google Scholar 

  • Soop EM (1994) Handbook of geostationary orbits. Kluwer Academic Publishers, Dordrecht

    Book  Google Scholar 

  • Valk S, Lemaitre A, Deleflie F (2009) Semi-analytical theory of mean orbital motion for geosynchronous space debris under gravitational influence. Adv Space Res 43:1070–1082

    Article  Google Scholar 

  • Xu GC (2007) GPS: theory, algorithms, and applications. Springer, Berlin

    Google Scholar 

  • Xu GC, Xu J (2013) On the singularity problem in orbital mechanics. MNRAS 429(2):1139–1148. doi:10.1093/mnras/sts403

    Article  Google Scholar 

  • Yang YX (2009) Chinese geodetic coordinate system 2000. Chin Sci Bull 54:2714–2721. doi:10.1007/s11434-009-0342-9

    Article  Google Scholar 

  • Yang YX, Li JL, Xu JY, Tang J, Guo HR, He HB (2011) Contribution of the Compass satellite navigation system to global PNT users. Chin Sci Bull 56(26):2813–2819. doi:10.1007/s11434-011-4627-4

    Article  Google Scholar 

  • Zhou SS, Cao YL, Zhou JH, Hu XG, Tang CP, Liu L, Guo R, He F, Chen JP, Wu B (2012) Positioning accuracy assessment for the 4GEO/5IGSO/2MEO constellation of COMPASS. Sci China Phys Mech Astron 55:2290–2299. doi:10.1007/s11433-012-4942-z

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (NSFC) under Grant Nos. 41174025 and 41174026, Space Navigation and Positioning Technique, Laboratory of Shanghai Municipality under Grant No. 0901, and the Open Fund of Key Laboratory of Precision Navigation and Technology, National Time Service Center, CAS under Grant No. 2012PNTT07.

Author information

Authors and Affiliations

  1. Zhengzhou Institute of Surveying and Mapping, Zhengzhou, 450052, China

    Lan Du & Zhongkai Zhang

  2. National University of Defense Technology, Changsha, 410073, China

    Jin Zhang

  3. Beijing Global Information Application and Development Center, Beijing, 100094, China

    Li Liu, Rui Guo & Feng He

Authors
  1. Lan Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhongkai Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jin Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Li Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Rui Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Feng He
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lan Du.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Du, L., Zhang, Z., Zhang, J. et al. An 18-element GEO broadcast ephemeris based on non-singular elements. GPS Solut 19, 49–59 (2015). https://doi.org/10.1007/s10291-014-0364-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10291-014-0364-x

Keywords

Search

Navigation